A 2D Unified (Non-) Hydrostatic Model of the Atmosphere with a Discontinuous Galerkin Method

Abstract

A two dimensional mesoscale atmospheric model is presented based on two systems of dynamical equations, the non-hydrostatic compressible Euler equations and the corresponding hydrostatic system. Both equation systems are discretized with a discontinuous Galerkin method in space and a linear semi-implicit multistep method in time. To cover elementwise polynomial spaces up to order four, exact quadrature rules are used. The method is applied to a terrain following quadrilateral grid. To validate the models, gravity wave propagation and mountain wave experiments are analyzed. The numerical models exhibit the proper wave propagation characteristics and high order convergence rates.

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Document Details

Document Type
Technical Report
Publication Date
Nov 07, 2011
Accession Number
ADA630111

Entities

People

  • Doerthe Handorf
  • Francis Giraldo
  • Klaus Dethloff
  • Marco Restelli
  • Matthias Laeuter
  • Sebastian Reich

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Euler Equations
  • Galerkin Method
  • Geometry
  • Gravity Waves
  • Mathematics
  • Navier Stokes Equations
  • Polynomials
  • Sound Waves
  • Terrain Following
  • Two Dimensional
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers

Technology Areas

  • Space